Research

A one-loop exact quantization of Chern-Simons theory. With Owen Gwilliam.

Superconformal algebras and holomorphic field theoriesWith Ingmar Saberi. 

Twisted characters and holomorphic symmetriesWith Ingmar Saberi. Submitted.

Toroidal prefactorization algebras associated to holomorphic fibrations and a relationship to vertex algebras. With Matt Szczesny and Jackson Walters. Submitted.

Higher Kac-Moody algebras and symmetries of holomorphic field theories. With Owen Gwilliam. Submitted. 

Renormalization for holomorphic field theories. Submitted. 

The holomorphic sigma-model and its symmetries. Phd. Thesis. 

The holomorphic bosonic string. With Owen Gwilliam. Topology and quantum theory in interaction, 213–258, Contemp. Math., 718, Amer. Math. Soc., Providence, RI, 2018. 81T30 (17B69 58D27 81T70).

Homotopy RG flow and the non-linear sigma-model. With Ryan Grady. Topology and quantum theory in interaction, 187–211, Contemp. Math., 718, Amer. Math. Soc., Providence, RI, 2018. 81T40 (17B55 53C44 81T15 81T17).

Chiral differential operators via BV quantization. With Vassily Gorbounov and Owen Gwilliam. To appear in Astérisque.

Asymptotic freedom in the BV formalism. With Chris Elliott and Philsang Yoo. J. Geom. Phys. 123 (2018), 246–283. 81T13 (53D50)

The Virasoro vertex algebra and factorization algebras on Riemann surfacesLett. Math. Phys. 107 (2017), no. 12, 2189–2237. 81R10 (17B65 17B68 18G55)